The first distinction is between “what is meant” and “what is valid”. I think it’s hard to dispute the mathematical validity of the sample response: correct algebra has produced a sequence of equivalent equations that link the initial equation to an obvious identity. Now, you are free ...
Learners fail in calculus since it is a slightly higher conceptual than normal algebra. It requires you to put in a lot of effort and do more practice. A lot of time is spent in simplifying, evaluating and solving the problem, of which not many people are willing to do. However, calculu...
Right now I'm doing programming problems all day long. That will continue for a few weeks, and then I'll apply through a referral I've been holding onto since February (yes, February). Thanks for the referral, JP. Follow Along with Me I'm on the journey, too. Follow along: Blog...
Hint: make y and z any two artificial inputs that the program stops with How does linear algebra relate to computer science? Design Turing machines to compute the following functions for x and y positive integers represented in unary: f(x) = x mod 5. What are recursive ...
We show, however, that also the converse is true, meaning that the problems are computationally equivalent. We will need the following lemma which follows from linear algebra: Lemma 1 Let M ∈ Fn×m, N ∈ Fm×n with m > n such that M N = In. Then there exist matrices M ∈ F(m...
The Quantitative Reasoning section of the GRE only tests algebra, geometry, data tables and graphs, and basic statistics, so even if you haven’t taken math in a while, you’ll only need to review a limited set of concepts, all of which you’ve likely been taught already. Also, you’...
But I wouldn’t call it advanced math. Computers are stupid: all they know is zero and one, and everything else builds on that. Programming relies fundamentally on basic algebra and logic more than any other form of mathematics. Where things get dicey is what you end updoingwith your prog...
R has many data structures that give it great flexibility, and each can use slightly different approaches to variable selection. When you fully integrate matrix algebra language capabilities into the main language, rather than have it exist as a separate language such as SAS/IML, this too require...